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Simplifying 11 + 13 + -13t = -8(5t + 15) + 9 Combine like terms: 11 + 13 = 24 24 + -13t = -8(5t + 15) + 9 Reorder the terms: 24 + -13t = -8(15 + 5t) + 9 24 + -13t = (15 * -8 + 5t * -8) + 9 24 + -13t = (-120 + -40t) + 9 Reorder the terms: 24 + -13t = -120 + 9 + -40t Combine like terms: -120 + 9 = -111 24 + -13t = -111 + -40t Solving 24 + -13t = -111 + -40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40t' to each side of the equation. 24 + -13t + 40t = -111 + -40t + 40t Combine like terms: -13t + 40t = 27t 24 + 27t = -111 + -40t + 40t Combine like terms: -40t + 40t = 0 24 + 27t = -111 + 0 24 + 27t = -111 Add '-24' to each side of the equation. 24 + -24 + 27t = -111 + -24 Combine like terms: 24 + -24 = 0 0 + 27t = -111 + -24 27t = -111 + -24 Combine like terms: -111 + -24 = -135 27t = -135 Divide each side by '27'. t = -5 Simplifying t = -5
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